The physiology or otherwise of blood circulation is predicated on the electrical conduction of the heart. As a rule electrical impulse suffusing the cardiac cells, just like all timedependent phenomena, transmits with a modicum of time delay. Such delay may be physiological (benign) or pathological; the later is seen as a cardiac liability. This paper treated impulse conduction delay in the cardiac system. A set of matrices resulting from the graph theoretic description of the conduction system was generated and fitted into a continuous time invariant state-space delay equation, and a state-transition matrix solution was sought. An input control-based minimization scheme by which ensuing deleteriousness of pathological delay could be assuaged was proposed.
The physiology or otherwise of blood circulation is predicated on the electrical conduction of the heart. As a rule electrical impulse suffusing the cardiac cells, just like all time-dependent phenomena, transmits with a modicum of time delay. Such delay may be physiological (benign) or pathological; the later is seen as a cardiac liability. This paper treated impulse conduction delay in the cardiac system. A set of matrices resulting from the graph theoretic description of the conduction system was generated and fitted into a continuous time invariant state-space delay equation, and a state-transition matrix solution was sought. An input control-based minimization scheme by which ensuing deleteriousness of pathological delay could be assuaged was proposed.